In the course of trying to put cross-hatching between two lines, I came up with this. Wodering if the curved envelope of lines is always a parabola....
... Thanks for the clear explanation ... This is a very convenient feature that I didn't even realize was there. Here, I was able to get the "n" slider to...
A formula for a conic section in polar coordinates is r = A/(1+Ecos(theta)) where A and E are constants. E is the eccentricity. When E is increased past one...
Hello, This bug occurs when GC connects the dots across the values where 1+E*cos(theta) = 0. The best solution would be for GC to notice that the function is...
Ron- ... That would be among my various failed attempts at a workaround [:-)] ... Thanks for that! A greasy kludge to be sure, but kind of neat for all that. ...
... The confounding problem is that GC is "helpfully" simplifying the expression, elimination 0*stuff by simplifying it to 0. Changing the 0 to 0.0001 inhibits...
Using "if" statements to filter out the places where the denominators approach zero seems to work in general, but only for the parametric form of the...
Using "if" statements to filter out the places where the denominators approach zero seems to work in general, but only for the parametric form of the...
Here's something that, with a few tweaks, will break a surface up into rectangles. Was trying to see how GC plots surfaces in "checkered" mode. It looks like...
This does triangular facets, with adjustable "resolution" (number of facets) up to 12 levels with 2 X 12 triangular facets at each level. Plan to put in an...
Took out the contour lines, for speed, and added some coloring for the triangles. The high-resolution plot is shown transparently on top. Any function in...
By using color-maps with "if" statements, you can mask out areas you're not interested in. Also, the yellow shows up a lot better with a darker background. If...
By using color-maps with "if" statements, you can mask out areas you're not interested in. Also, the yellow shows up a lot better with a darker background. If...
Trying to get a general cross-hatching function for a triangle. The following seems reasonably fast, but I had to transform first to find a simple height...
How does one type in a cross product in GC? I can't seem to find it in the Help, though I do see examples of them in the example files (but not how to...
Hello! When varying the "a" value in the standard form equation of a hyperbola, f(x)=a(x-h)^2+k, I notice that the curve of the parabola gets wider at the...
One way of answering your first question (and I don't know of a name for it) is to watch the parabola in 3 dimensions rotate around the tangent line through...
... It looks to me as if it gets completely flat for a = 0. In that case we have y = k, which is just the straight line at height k. Still working on this, but...
To keep my mind sharp, I'm taking evening classes at the local university and studying microeconomics this semester. I just saw Ron Avitzur's GC story on...
... I think this hits the nail on the head. What really makes it clear to me is thinking of what we see when a movie or slide is projected on a screen. If we...
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GraphingCalcUsers@yah...
Nov 22, 2006 5:01 pm
1241
I didn't quite have this right, or at least as simply done, in some earlier versions I posted. Came across a pretty clear explanation in "Encyclopedia of Math"...
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GraphingCalcUsers@yah...
Nov 22, 2006 5:06 pm
1243
I did this to help me keep straight what A - B was when I was figuring out projections. Have to remember that we're dealing with "free" vectors, so "A-B" would...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
GraphingCalcUsers@yah...
Nov 22, 2006 5:40 pm
1245
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the GraphingCalcUsers group. File :...
GraphingCalcUsers@yah...
Nov 22, 2006 5:42 pm
1246
A not-too-clear attempt to visualize 3D projections. The plane is called the "vanishing" plane by Klein, since points there get sent to infinity. I'm trying to...
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